trigonometric ratio: comparing sides of a right triangle

tan= opposite over adjacentexternal image TRIANGLE.JPG


hypotenuse is always the longest side
adjacent is always connected to the given angle
opposite is never touching the given angle

Sin= Opposite over hypotenuse
Cos= Adjacent over hypotenuse
Tan= Opposite over adjacent

Way To Remember The Above Formulas: SOH-CAH-TOA
Use Verbal Cues: Some Old Hippie Caught Another Hippie Tripping On Asphault.

Tangent Ratio- for a gicen acute angle <A with a measure of theda degrees, the tangent of <A or tan theda is the ratio of the length of the leg opposite <A to the length of the leg adjacent to <A in any right triangle have A as one vertex.

external image T-3_1.jpg
Sine, Cosine & Tangent Triangle.